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Finding the Fourth Proportional to 6,381.92, 9,552.40 and 3,412.95

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Solution

The fourth proportional to 6,381.92, 9,552.40 and 3,412.95 is: 5,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.92 : 9,552.40 = 3,412.95 : x
  2. Step 2: Convert to fraction form
    6,381.92/9,552.40 = 3,412.95/x
  3. Step 3: Cross multiply
    6,381.92x = 9,552.40 × 3,412.95
  4. Step 4: Simplify right side
    6,381.92x = 32,601,863.58
  5. Step 5: Solve for x
    x = 32,601,863.58/6,381.92
  6. Step 6: Final answer
    x = 5,108.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.